1 dx x(x - y²) separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy dx - 1³+y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy (f) dx = 3y + y² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above (d) (e)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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(d)
U
(f)
U
(e)
dy
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy
y³ + y
dx
x³ + x
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
dy = 3y + y²
dx
separable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
none of the above
1
x(x - y²)
=
Transcribed Image Text:(d) U (f) U (e) dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy y³ + y dx x³ + x separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above dy = 3y + y² dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the above 1 x(x - y²) =
Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve. (Select all that apply.)
dy x + y
(a)
dx
Oseparable
exact
linear in x
linear in y
homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
dy
7
dx
y - x
separable
exact
Olinear in x
Olinear in y
(b)
=
homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
(c) (x +
= y + 5
Oseparable
exact
Olinear in x
linear in y
O homogeneous
Bernoulli in x
Bernoulli in y
Onone of the above
Transcribed Image Text:Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve. (Select all that apply.) dy x + y (a) dx Oseparable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y Onone of the above dy 7 dx y - x separable exact Olinear in x Olinear in y (b) = homogeneous Bernoulli in x Bernoulli in y Onone of the above (c) (x + = y + 5 Oseparable exact Olinear in x linear in y O homogeneous Bernoulli in x Bernoulli in y Onone of the above
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